{"title":"涉及勒让德多项式的某些积分","authors":"JD Bulnes, J. L. Bonilla, J. Prajapati","doi":"10.15406/oajs.2023.06.00184","DOIUrl":null,"url":null,"abstract":"Here we exhibit alternative proofs of the identities given by Persson-Strang and (Huat-Chan)- -Wan-Zudilin for the Legendre polynomials. Besides, we show the connection between the Lanczos derivative and these polynomials via the Rangarajan-Purushothaman’s formula.","PeriodicalId":19581,"journal":{"name":"Open Access Journal of Science","volume":"17 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2023-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"Certain integrals involving legendre polynomials\",\"authors\":\"JD Bulnes, J. L. Bonilla, J. Prajapati\",\"doi\":\"10.15406/oajs.2023.06.00184\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Here we exhibit alternative proofs of the identities given by Persson-Strang and (Huat-Chan)- -Wan-Zudilin for the Legendre polynomials. Besides, we show the connection between the Lanczos derivative and these polynomials via the Rangarajan-Purushothaman’s formula.\",\"PeriodicalId\":19581,\"journal\":{\"name\":\"Open Access Journal of Science\",\"volume\":\"17 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Open Access Journal of Science\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15406/oajs.2023.06.00184\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Open Access Journal of Science","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15406/oajs.2023.06.00184","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
摘要
在这里，我们展示了由Persson-Strang和(Huat-Chan)- wan - zudilin给出的关于Legendre多项式的恒等式的替代证明。此外，我们还通过Rangarajan-Purushothaman公式证明了Lanczos导数与这些多项式之间的联系。
Here we exhibit alternative proofs of the identities given by Persson-Strang and (Huat-Chan)- -Wan-Zudilin for the Legendre polynomials. Besides, we show the connection between the Lanczos derivative and these polynomials via the Rangarajan-Purushothaman’s formula.
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